Yes , the response of the light bulb depend on how fast you move the bar magnet
Flux is the presence of a force field in a specified physical medium, or the flow of energy through a surface
Lenz's law states that the induced electromotive force with different polarities induces a current whose magnetic field opposes the change in magnetic flux through the loop in order to ensure that the original flux is maintained through the loop when current flows in it.
Yes, waving a magnet around does create an electromagnetic wave which does affect the light bulb .
Due to motion of the bar, there will be a constant change in flux and due to Lenz's Law a current within the coil will be induced . This induced current can be used to power the light bulb.
As we know that the greater the speed, the greater the magnitude of the current, and the current is zero when there is no motion.
There will be change in brightness as the bar moves with faster speed.
To learn more about Lenz's Law
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